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Finding the Third Proportional to 249,941 and 366,042

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Solution

The third proportional to 249,941 and 366,042 is: 536,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,941 : 366,042 = 366,042 : x
  2. Step 2: Convert to fraction form
    249,941/366,042 = 366,042/x
  3. Step 3: Cross multiply
    249,941x = 366,042 × 366,042
  4. Step 4: Simplify right side
    249,941x = 133,986,745,764
  5. Step 5: Solve for x
    x = 133,986,745,764/249,941
  6. Step 6: Final answer
    x = 536,073.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.